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Finding the Fourth Proportional to 1,206.81, 1,810.44 and 385.16

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Solution

The fourth proportional to 1,206.81, 1,810.44 and 385.16 is: 577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.81 : 1,810.44 = 385.16 : x
  2. Step 2: Convert to fraction form
    1,206.81/1,810.44 = 385.16/x
  3. Step 3: Cross multiply
    1,206.81x = 1,810.44 × 385.16
  4. Step 4: Simplify right side
    1,206.81x = 697,300.02
  5. Step 5: Solve for x
    x = 697,300.02/1,206.81
  6. Step 6: Final answer
    x = 577.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.